Topics
Real Numbers
- Concept of Divisibility
- Euclid's Division Lemma
- Euclid’s Division Algorithm
- Application of Euclid Lemma > Finding the HCF of Two Positive Integers
- Application of Euclid Lemma > Finding the HCF of Three Numbers
- Application of Euclid Lemma > On Expressing the HCF of Two Numbers a and b in the Form xa + yb
- Fundamental Theorem of Arithmetic
- Applications of the Fundamental Theorem of Arithmetic
- Rational Numbers
- Irrational Numbers
- Nature of the Decimal Expansions of Rational Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
Quadratic Equations
Geometry
Arithmetic Progressions
Trignometry
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
Introduction to Trigonometry
Some Applications of Trigonometry
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
Maharashtra State Board: Class 10
Definition: Segment of a Circle
Segment of a circle
Region enclosed by a chord and the corresponding arc.
Minor segment
A smaller region formed by the chord.
Major segment
The remaining larger region of the circle.
CBSE: Class 10
Maharashtra State Board: Class 10
Maharashtra State Board: Class 10
Formula: Area of a Segment
Area of minor segment = Area of sector − Area of triangle
\[A(\text{minor segment})=\frac{\theta}{360}\pi r^2-\frac{1}{2}r^2\sin\theta\]
That is,
A(major segment) = πr2 − A(minor segment)
Video Tutorials
Shaalaa.com | Area Circles part 5 (Major Minor Sector and Segments)
to track your progress
